MAREK KUCZMA: LIST OF PUBLICATIONS

MAREK KUCZMA: LIST OF PUBLICATIONS
[1]
On the functional equation g(x + 1) − g(x) = ϕ(x) [Polish]. Zeszyty Nauk. Univ.
Jagielloń. Mat.-Fiz.-Chem. 4 (1958), 27-38.
[2]
On the sums of the series
∞
P
np /xn [Polish]. Zeszyty Nauk. Uniw. Jagielloń. Mat.-
n=1
Fiz.-Chem. 4 (1958), 39-46.
[3]
(with S. Gola̧b and Z. Opial) La courbure d’une courbe plane et l’existence d’une
asymptote. Ann. Polon. Math. 5 (1958/59), 275-283.
[4]
On the functional equation ϕ(x) + ϕ[f (x)] = F (x). Ann. Polon. Math. 6 (1959),
281-287.
[5]
(with J. Kordylewski) On the functional equation F (x, ϕ(x), ϕ[f (x)]) = O. Ann.
Polon. Math. 7 (1959), 21-32.
[6]
(with S. Gola̧b and J. Kordylewski) On some new geometrical interpretations of the
torsion of a skew curve. Ann. Polon. Math. 7 (1959), 269-278.
[7]
On convex solutions of the functional equation g[α(x)] − g(x) = ϕ(x). Publ. Math.
Debrecen 6 (1959), 40-47.
[8]
Bemerkung zur vorhergehenden Arbeit von M. Kucharzewski. Publ. Math. Debrecen
6 (1959), 199-203.
[9]
On linear differential geometric objects of the first class with one component. Publ.
Math. Debrecen 6 (1959), 72-78.
[10] Note on convex functions. Ann. Univ. Sd. Budapest. Eötvös, Sect. Math. 2 (1959),
25-26.
[11] (with J. Kordylewski) On some functional equations [Polish]. Zeszyty Nauk. Uniw.
Jagielloń. Prace Mat. 5 (1959), 23-34.
[12] (with J. Kordylewski) On the functional equation F (x, ϕ(x), ϕ[f1 (x)], . . . ,
ϕ[fn (x)]) = O. Ann. Polon. Math. 8 (1960), 55-60.
[13] General solution of a functional equation. Ann. Polon. Math. 8 (1960), 201-207.
[14] On continuous solutions of a functional equation. Ann. Polon. Math. 8 (1960), 209214.
[15] Remarks on some functional equations. Ann. Polon. Math. 8 (1960), 277-284.
[16] On the form of solutions of some functional equations. Ann. Polon. Math. 9 (1960),
55-63.
[17] (with J. Kordylewski) On some linear functional equations. Ann. Polon. Math. 9
(1960), 119-136.
[18] (with J. Aczel, S. Gola̧b and E. Siwek) Das Doppelverhältnis als Lösung einer Funktionalgleichung. Ann. Polon. Math. 9 (1960), 183-187.
[19] General solution of the functional equation ϕ[f (x)] = G(x, ϕ(x)). Ann. Polon. Math.
9 (1960), 275-284.
[20] On monotonic solutions of a functional equation. I. Ann. Polon. Math. 9 (1960),
295-297.
[21] Remarques sur quelques théorèmes de J. Anastassiadis. Bull. Sci. Math. (2) 84
(1960), 98-102.
[22] On some infinite series and a certain limit property of real entire functions. Acta
Math. Acad. Sci. Hungar. 11 (1960), 249-253.
[23] (with M. Kucharzewski) On linear differential geometric objects with one component.
I. Tensor (N.S.) 10 (1960), 245-254.
[24] (with P. Vopěnka) On the functional equation λ[f (x)]λ(x) + A(x)λ(x) + B(x) = O.
Ann. Univ. Sci. Budapest, Eötvös, Sect. Math. 3-4 (1960-61), 123-133.
[25] (with M. Kucharzewski) On linear differential geometric objects with one component.
II. Tensor (N.S.) 11 (1961), 35-42.
[26] (with J. Kordylewski) On the continuous dependence of solutions of some functional
equations on given functions, I. Ann. Polon. Math. 10 (1961), 41-48.
[27] On monotonic solutions of a functional equation, II. Ann. Polon. Math. 10 (1961),
161-166.
[28] (with J. Kordylewski) On the continuous dependence of solutions of some functional
equations on given functions, II. Ann. Polon. Math. 10 (1961), 167-174.
[29] Functional equations and their significance in modern mathematics [Polish]. Prace
Mat. 6 (1961), 175-211.
[30] Sur une equation fonetionnelle. Mathematica (Cluj) 3(26) (1961),79-87.
[31] A uniqueness theorem for a linear functional equation. Glas. Mat.-Fiz. Astr. Ser. II
16 (1961), 177-181.
[32] On some functional equations containing iterations of the unknown function. Ann.
Polon. Math. 11 (1962), 1-5.
[33] On the functional equation ϕ”(x) = g(x). Ann. Polon. Math. 11 (1962),161-175.
[34] (with J. Kordylewski) On some linear functional equations, II. Ann. Polon. Math.
11 (1962), 203-207.
[35] On a recurrence relation. Colloq. Math. 9 (1962), 105-108.
[36] (with M. Kucharzewski) General solution of the functional equation f (xy) =
f (x)f (y) for second degree matrices f [Polish]. Zeszyty Nauk. Wyż. Szkoly Ped.
w Katowicach Mat. 3 (1962), 47-59.
[37] (with M. Kucharzewski) Some remarks on sequences defined in a recurrent way
[Polish]. Zeszyty Nauk. Wyż. Szkoly Ped. w Katowicach Mat. 3 (1962), 61-70.
[38] On some functional equations whose solutions are representable with the aid oj Euler’s gamma function [Polish]. Zeszyty Nauk. Wyż. Szkoly Ped. w Katowicach Mat.
3 (1962), 71-88.
[39] On the functional equation f (x + y) = f (x) + f (y). Fund. Math. 50 (1962), 387-391.
[40] (with M. Kucharzewski) Sur la classification des objects géomètriques linéaires homogènes de la première classe à deux composantes dans l’espace ‘ deux dimensions.
C.R. Acad. Sci. Paris 254 (1962), 1562-1563.
[41] A remark on commutable functions and continuous iterations. Proc. Amer. Math.
Soc. 13 (1962), 847-850.
[42] (with B. Choczewski) Sur certaines équations fonctionnelles considérèes par l. Stamate. Mathematica (Cluj) 4 (27) (1962), 225-233.
[43] (with M. Kucharzewski) On the functional equation F (AB) = F (A)F (B). Ann.
Polon. Math. 13 (1963), 1-17.
[44] A characterization of the exponential and logarithmic functions by functional equations. Fund. Math. 52 (1963), 283-288.
[45] (with M. Kucharzewski) Some remarks on geometric objects and their equivalence.
l. Tensor (N.S.) 13 (1963), 251-260.
[46] (with M. Kucharzewski) Some remarks on geometric objects and their equivalence.
II. Tensor (N.S.) 13 (1963),261-268.
[47] On the Schröder equation. Rozprawy Mat. 34 (1963), 50 pp.
[48] (with K. Szymiczek) On periodic solutions of a functional equation. Amer. Math.
Monthly 70 (1963), 847-850.
[49] (with M. Kucharzewski) Determination of geometric objects of the type [2,2,1] with
a linear homogeneous transformation formula. Ann. Polon. Math. 14 (1963), 29-48,
[50] (with M. Kucharzewski) On a system of functional equations occurring in the theory
of geometric objects. Ann. Polon. Math. 14 (1963), 59-67.
[51] (with A. Zajtz) Über die multiplikative Cauehysche Funktionalgleichung für Matrizen dritter Ordnung. Arch. Math. Basel, 15 (1964), 136-143.
[52] Note on Schröder’s functional equation. J. Austral. Math. Soc. 4 (1964), 149-151.
[53] A survey of the theory of functional equations. Univ. Beograd. Publ. Elektrotchn.
Fak. Ser. Mat. Fiz. 130 (1964), 64 pp.
[54] Sur une équation aux differences finies et une caractérisation fonctionnelle des
pólynómes. Fund. Math. 55 (1964), 77-86.
[55] (with M. Kucharzewski) Determination of linear differential geometric objects of the
first class, with two components, in a two-dimensional space. Ann. Polon. Math. 15
(1964), 77-84.
[56] (with M. Kucharzewski) Basic concepts of the theory of geometric objects. [Rozprawy
Mat., No. 43]. IMPAN, Warsaw, 1964.
[57] Sur une équation fonctionnelle qui caractérise la fonction x−1 . Publ. Inst. Math.
(Beograd) (N.S.) 4(18) (1964), 121-124.
[58] Solution d’un probléme de D. S. Mitrinović concernant une équation fonctionnelle.
Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 129 (1964), 30-32.
[59] (with T. Dlotko) Sur une équation differentielle fonctionelle á l’argument accélérè.
Colloq. Math. 12 (1964), 107-114.
[60] (with S. Gola̧b, A. Jakubowicz and M. Kucharzewski) Sur l’objet géomètrique
représentant une direction munie d’un sens. Ann. Polon. Math. 16 (1964), 233-236.
[61] On a characterization of the cosine. Ann. Polon. Math. 16 (1964), 53-57.
[62] Remark on a difference equation. Prace Mat. 9 (1965), 1-8.
[63] Bemerkungen über die Klassifikation der Funktionalgleichungen. Prace Mat. 9
(1965), 169-183.
[64] Einige Sätze über die Reduktion der Ordnung der Funktionalgleichungen. Prace Mat.
9 (1965), 185-192.
[65] (with S. Gola̧b) Über eine Eigenschaft der Systeme von Transformationen. Zeszyty
Nauk. Uniw. Jagielloń. Prace Mat. 10 (1965), 21-24.
[66] On teaching inequalities in high schools [Polish]. Matematyka 18, No. 3 (87) (1965),
123-125.
[67] (with M. Kucharzewski) Klassifikation der linearen homogenen geometrischen Objekten von Typus J mit drei Komponenten. [Rozprawy Mat., No. 48] IMPAN, Warsaw, 1965.
[68] On convex solutions of Abel’s functional equation. Bull. Acad. Polon. Sci. Sér. Sci.
Math. Astr. Phys. 13 (1965), 645-648.
[69] Third note on the general solution oj a functional equation. Ann. Polon. Math. 17
(1965), 179-192.
[70] (with B. Choczewski) On the indeterminate case in the theory of linear functional
equation. Fund. Math. 58 (1966), 163-175.
[71] On a theorem of M. Ghermänescu. Zeszyty Nauk. Uniw. Jagielloń. Prace Mat. 11
(1966), 31-39.
[72] (with A. Zajtz) On the form of real solutions of the matrix functional equation
Φ(x)Φ(y) = Φ(xy) for non-singular matrices Φ. Publ. Math. Debrecen 13 (1966),
257-262.
[73] Sur l’equation fonctionnelle de Böttcher. Mathematica (Cluj) 8(31) (1966), 279-285.
[74] (with A. Smajdor) Note on iteration of concave functions. Amer. Math. Monthly
74 (1967), 401-402.
[75] Une remarque sur les solutions analytiques d’une équation fonctionnelle. Colloq.
Math. 16 (1967), 93-99.
[76] On a functional characterization of the logarithm. Funkcial. Ekvac. 10 (1967), 67-73.
[77] (with A. Zajtz) Quelques remarques sur l’equation fonctionnelle matricielle multiplicative de Cauchy. Colloq. Math. 18 (1967),159-168.
[78] Un théoréme d’unicité pour l’equation fonctionnelle de Böttcher. Mathematica
(Cluj) 9(32) (1967), 285-293.
[79] On the convergence of iterates. Ann. Polon. Math. 20 (1968), 195-198.
[80] (with J. Burek) Einige Bemerkungen über monotone und konvexe Lösungen gewisser
Funktionalgleichungen. Math. Nachr. 36(1968), 121-134.
[81] On a conjecture of B. Schweizer. Aequationes Math. 2 (1968), 122-123.
[82] (with A. Smajdor) Fractional iteration in the class of convex functions. Bull. Acad.
Polon. Sci. Sér. Sci. Math. Astr. Phys. 16 (1968), 717-720.
[83] On a new characterization of the exponential function. Ann. Polon. Math. 21 (1968),
39-46.
[84] Some remarks on a functional equation characterizing the root. Aequationes Math.
2 (1969), 282-286.
[85] (with R. R. Coifman) On asymptotically regular solutions of a linear functional
equation. Aequationes Math. 2 (1969), 332-336.
[86] Analytic solutions of a linear functional equation. Ann. Polon. Math. 21 (1969),
297-303.
[87] On a functional equation with divergent solutions. Ann. Polon. Math. 22 (1969),
173-178.
[88] Fractional iteration of differentiable functions. Ann. Polon. Math. 22 (1969), 217227.
[89] On squares of differentiable functions. Ann. Polon. Math. 22 (1969), 229-237.
[90] Problems of uniqueness in the theory of functional equations in a single variable.
Zeszyty Nauk. Uniw. Jagielloń., Prace Mat. 14 (1970), 41-48.
[91] Zur Theorie der analytischen Lösungen der Funktionalgleichungen erster Stufe.
Nehézip. Müsz. Egy. Közl. (Miskolc) 30 (1970), 251-254.
[92] Almost convex functions. Colloq. Math. 21 (1970), 279-284.
[93] P56S1 (Problem 56, Solution I). Aequationes Math. 5 (1970), 326-327.
[94] (with R. Ger) On the boundedness and continuity of convex functions and additive
functions. Aequationes Math. 4 (1970), 157-162.
[95] Some remarks about additive functions on cones. Aequationes Math. 4 (1970), 303306.
[96] Fractional iteration of differentiable functions with multiplier zero. Prace Mat. 14
(1970), 35-39.
[97] Some remarks on convexity and monotonicity. Rev. Roumaine Math. Pures Appl.
15 (1970), 1463-1469.
[98] (with G. I. Targoński) On a Pre-Schröder Equation. Bull. Acad. Polon. Sci. Sér.
Sci. Math. Astr. Phys. 18 (1970), 721-724.
[99] P63R2 (Problem 63, Remark 2). Aequationes Math. 5 (1970), 327-328,
[100] (with D. Czaja-Pośpiech) Continuous solutions of some functional equations in the
indeterminate case. Ann. Polon. Math. 24 (1971), 9-20.
[101] (with W. Smajdor) On the radius of convergence of series solutions of a functional
equation. Ann. Polon. Math. 24 (1971), 233-240.
[102] (with A. Smajdor) Regular fractional iteration. Bull. Acad. Polon. Sci. Ser. Sci.
Math. Astr. Phys. 19 (1971), 203-207.
[103] (with W. Smajdor) On the problem of uniqueness for solutions of a functional equation. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 19 (1971), 301-304.
[104] On integrable solutions of a functional equation. Bull. Acad. Polon. Sci. Ser. Sci.
Math. Astr. Phys. 19 (1971), 593-596.
[105] Convex functions. [Corso tenuto a La Mendola (Trento) dal 20 al 28 agosto 1970].
Functional Equations and Inequalities. Cremonese, Roma, 1971, pp. 195-213.
[106] (with J. Drewniak) On the asymptotic behaviour of some sequences built of iterates.
Ann. Polon. Math. 25 (1971), 39-51.
[107] (with L. Dubikajtis) On non-Iocalized oriented angles. Ann. Polon. Math. 25 (1971),
235-247.
[108] (with Marcin E. Kuczma) An elementary proof and extension of a theorem of Steinhaus. Glas. Mat. Ser. III 6(26) (1971), 11-18.
[109] On a problem of the optimalization of a discrete process with bounds at every step.
Podstawy sterowania I (1971), 153-160.
[110] On a problem of the optimalization of a discrete process with bounds at every step.
Bull. Acad. Polon. Sci. Ser. Sci. Techn. 20 (1972), no. 2, 15-17.
[111] On a problem of the optimalization of a discrete process with bounds at every step
[Polish]. Prace Zakl. Syst. Automat. Kompleks. PAN 6 (1972), 3-26.
[112] On the stability of a discrete process with bounds at every step. Podstawy sterowania
2 (1972), 97-104.
[113] (with W. Smajdor) Analytic solutions of some functional equations. J. London Math.
Soc. (2) 4 (1972), 418-424.
[114] Hote on additive functions of several variables. Uniw. Śla̧ski w Katowicach Prace
Nauk.-Prace Mat. 2 (1972), 49-51.
[115] On a certain series. Ann. Polon. Math. 26 (1972), 199-204.
[116] (with J. Matkowski) Solutions of a functional equation in a special class of functions.
Ann. Polon. Math. 26 (1972), 287-293.
[117] (with B. Choczewski) On a problem of Lipiński concerning an integral equation.
Colloq. Math. 25 (1972), 13-115.
[118] Special solutions of a functional equation. Ann. Polon. Math. 27 (1972), 29-32.
[119] A remark concerning measure and category. Uniw. Śla̧ski w Katowicach Prace
Nauk.-Prace Mat. 3 (1973), 51-52.
[120] On some set classes occurring in the theory of convex functions. Comment. Math.
Prace Mat. 17 (1973), 127-135.
[121] (with R. Ger) On the structure of continuous solutions of some functional equations.
Uniw. Śla̧ski w Katowicach Prace Nauk.-Prace Mat. 4 (1973), 13-21.
[122] (with L. Dubikajtis, C. Ferens and R. Ger) On Mikusinski’s functional equation.
Ann. Polon. Math. 28 (1973), 39-47.
[123] Quelques observations á propos de l’equation Pre-Schröder. Ann. Polon. Math. 28
(1973), 49-52.
[124] Remarks concerning the general solution of a functional equation. Bul. Stiint. Tehn.
Inst. Politehn. ”Traian Vuia” Timisoara 16(30) (1971), 154-165.
[125] Functional equations in the theory oj branching processes [Polish]. Wiadom. Mat.
16 (1973), 13-22.
[126] Cauchy’s functional equation on a restricted domain. Colloq. Math. 28 (1973), 313315.
[127] Activity of Professor Stanislaw Gola̧b in the theory of functional equations. Demonstratio Math. 6 (1973), 39-44.
[128] A contribution to the theory of fractional iteration of differentiable functions.
Demonstratio Math. 6 (1973), 181-189.
[129] Note on a linearization. Ann. Polon. Math. 29 (1974), 75-81.
[130] (with PI. Kannappan) On a functional equation related to the Cauchy equation.
Ann. Polon. Math. 30 (1974), 49-55.
[131] Uniqueness of solutions of functional equations in a single variable [Russian]. Proceedings of the Symposium on Difterential Equations with Deviated Argument
[Kiev, September 1975). Naukowa Dumka, Kiev, 1977, pp. 187-199.
[132] Normalizing factors for iterates of random valued functions. Uniw. Śla̧ski w Katowicach Prace Nauk.-Prace Mat. 6 (1975), 67-72.
[133] On a theorem of Roman Ger. Uniw. Śla̧ski w Katowicach Prace Nauk-Prace Mat.
6 (1975), 73-76.
[134] (with R. Ger) On inverse additive functions. Boll. Un. Mat. Ital. 11 (1975), 490-495.
[135] Various aspects of the functional equation of Schröder. Colloques Internationaux
du C.N.R.S. No. 229. Transformations ponctuelles et leurs applications [Toulouse,
10-14, September 1973], C.N.R.S., Paris, 1976, pp, 245-257.
[136] Regularly varying solutions of a linear functional equation. J. Austral. Math. Soc.
22 (1976), 135-143.
[137] (with J. Smital) On measures connected with the Cauchy equation. Aequationes
Math. 14 (1976), 421-428.
[138] (with J. W. Brown) Self-inverse Sheffer sequences. SIAM J. Math. Anal. 7 (1976),
723-728.
[139] On mappings preserving linear independence and dependence. Uniw. ŚIa̧ski w Katowicach Prace Nauk.-Prace Mat. 7 (1977), 29-49.
[14O] On the number of continuous solutions of a functional equation. Uniw. Śla̧ski w
Katowicach Prace Nauk.-Prace Mat. 7(1977), 51-55.
[141] General continuous solution of a linear homogeneous equation. Ann. Polon. Math.
35 (1977), 21-25.
[142] (with K. Baron) Iteration of random valued functions on the unit interval. Colloq.
Math. 37 (1977), 263-269.
[143] Additive functions and the Egorov theorem. General Inequalities I (Proceedings of
the Symposium, Oberwolfach, 1976), E. F. Beckenbach (ed.). [ISNM 41). Birkhäuser
Verlag, Basel and Stuttgart, 1978, pp. 191-197.
[144] On some alternative functional equations. Aequationes Math. 17 (1978), 182-198.
[145] Functional equations on restricted domains. Aequationes Math. 18 (1978), 1-34.
[146] Non-negative continuous solutions of a functional inequality. Ann. Polon. Math. 36
(1979), 187-199.
[146] Nonnegative continuous solutions of a linear functional inequality. General Inequalities I (Proceedings of the Symposium, Oberwolfach, 1976), E. F. Beckenbach (ed.).
[ISNM 41). Birkhiiuser Verlag, Basel and Stuttgart, 1978, pp. 175-180.
[147] (with E. Glowacki) Some remarks on Hosszú’s functional equation on integers. Uniw.
Śla̧ski w Katowicach Prace Nauk.-Prace Mat. 9 (1979), 53-63.
[148] (with J. Kalinowski) Some remarks on continuous solutions of a functional equation.
Uniw. Śla̧ski w Katowicach Prace Nauk.-Prace Mat. 9 (1979), 64-73.
[149] Regular fractional iteration of convex functions. Ann. Polon. Math. 38 (1980), 95100.
[150] On a theorem of B. Barna. Aequationes Math. 21 (1980), 173-178.
[151] (with R. Graw) Infinite discrete sets of limit points of iterative sequences of continuous functions. Aequationes Math. 22 (1981), 64-69.
[152] (with B. Choczewski) Asymptotic properties of discontinuous solutions of a functional equation. Zeszyty Nauk. Uniw. Jagielloń., Prace Mat. 22 (1981), 119-123.
[153] Functional equations. [S. Kotz-N. L. Johnson: Encyclopedia of Statistical Sciences,
vol. 3]. Wi1ey, New York, 1983, pp. 259-261.
[154] (with B. Choczewski) Discontinuous solution of an inhomogeneous linear functional
equation. Zeszyty Nauk. Uniw. Jagielloń., Prace Mat. 24 (1984), 155-158.
[155] On some properties oj Erdös sets. Colloq. Math. 48 (1984), 127-134.
[156] On some analogies between measure and category and their applications in the theory
of additive functions. Ann. Math. Sil. 1(13) (1985), 155-162.
[157] (with B. Choczewski) On a system of functional equations. Aequationes Math. 28
(1985), 262-268.
[158] On a result of Z. Kominek. Rad. Mat. 3 (1987), 307-315.
[159] On some properties of solutions of a functional equation. Opuscula Math. 3 (1987),
37-41.
[160] A generic property of a linear functional equation. Opuscula Math. 4 (1988), 139144.
[161] An example of semilinear topologies. Stochastica 12 (1988), 197-205.
[162] (with Z. Kominek) Theorems oj Bernstein-Doetsch, Piccard and Mehdi and semilinear topology. Arch. Math. (Basel) 52 (1989), 595-602.
[163] (with B. Choczewski) A remark on doubly stochastic measures and functional equations. C.R. Math. Rep. Acad. Sci. Canada II (1989), 127-132.
[164] Note on microperiodic functions. Rad. Mat. 5 (1989), 127-140.
[165] (with Z. Kominek) On the lower hull of convex functions. Aequationes Math. 38
(1989), 192-210.
[166] (with J. Aczél) On two mean value properties and functional equations associated
with them. Aequationes Math. 38 (1989), 216-235.
[166a] (with J. Aczel) On two related types of functional equations describing mean value
properties. Zeszyty Nauk. Politech. Śla̧sk. Mat.-Fiz. 64 (1991). 37-35.
[167] Note on multiplicative functions. Ann. Math. Sil. 3 (15) (1990), 45-50.
[168] On the quasiarithmetic mean in a mean value property and the associated functional
equation. Aequationes Math. 41 (1991), 33-54.
[169] (with H. Światak) Newton-like algorithms for k th root calculation. Ann. Polon.
Math. 52 (1991), 303-312.
[170] (with J. Aczél) Generalizations of a ”folk theorem” on simple functional equations
in a single variable. Resultate Math. 19 (1991), 5-21.
[170a] (with J. Aczél) Solutions of a functional equation, convex of higher order. General
Inequa1ities 6 (Proceedings of the Symposium, Oberwolfach, 1990), edited by W.
Walter, International Series of Numerical Mathematies, vol. 103, Birkhäuser Verlag
Basel, 1992.
[171] (with Z. Kominek) p–convex functions in linear spaces. Ann. Polon. Math. 53 (1991),
91-108.
[172] On a Stamate-type functional equation. Publ. Math. Debrecen 39 (1991), 325-338.
[173] A note on the core topology. Ann. Math. Sil. 5(17) (1991), 28-36.
[174] (with Z. Kominek) Theorem of Bernstein–Doetseh in Baire spaees. Ann. Math. Sil.
5 (17) (1991), 10-17.
[175] (with V. Faber and J. Mycielski) Some models of plane geometries and a funetional
equation. Colloquium Math. 42 (1991), 279-281.
[176] On some functional equations with conic sections as solutions. Rocznik Nauk.Dydakt. WSP Kraków. Prace Mat. 13 (1993), 197–213.
[177] On measurable functions with vanishing differences. Ann. Math. Sil. 6 (1992), 42-60.
[178] On a functional equation occurring in astrophysics. Math. Pannon. 3 (1992), 17-27.
[179] (with B. Choczewski) On iterative roots of polynomials. European Conference on
Iteration Theory (ECIT91), World Scientific Publishing Co. Pte. Ltd, 1992, pp.
59-67.
BOOKS
I. Functional equations in a single variable. Monografie Mat. 46. Polish Scientific
Publishers, Warszawa, 1968.
II. (editor) Functional equations in the theory of stochastic processes [Polish]. Silesian
University, Katowice, 1972.
III. An introduction to the theory of functional equations and inequalities. Cauchy’s
equation and Jensen’s inequality. [Prace Nauk. Uniw. Śla̧ski, Vol. 489]. Polish
Scientific Publishers, Warszawa-Krakw-Katowice, 1985.
IV. (with B. Choczewski and R. Ger) Iterative functional equations. [Encyclopedia or
Mathematics and Its Applications]. Cambridge University Press, Cambridge-New
York-Port Chester-Melboume-Sydney, 1990.